3. Let f : R" →R be differentiable and fix ro € R". Assume Vf(ro) 0, where Vf(ro) is the gradient vector of f at ro. Show that for any v e R" with Ju = 1, we have -|Vf(ro)| < D.f(ro) < |Vf(r0)l; with equality if and only if Vf(ro) v =+ |Vf(ro)|

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